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Finding the Fourth Proportional to 309.75, 427.46 and 178.77

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Solution

The fourth proportional to 309.75, 427.46 and 178.77 is: 246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.75 : 427.46 = 178.77 : x
  2. Step 2: Convert to fraction form
    309.75/427.46 = 178.77/x
  3. Step 3: Cross multiply
    309.75x = 427.46 × 178.77
  4. Step 4: Simplify right side
    309.75x = 76,416.13
  5. Step 5: Solve for x
    x = 76,416.13/309.75
  6. Step 6: Final answer
    x = 246.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.